Linearizability conditions of time-reversible cubic systems |
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| Authors: | Xingwu Chen Valery G Romanovski |
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| Institution: | aDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;bCenter for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000, Slovenia |
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| Abstract: | In this paper we present the necessary and sufficient conditions for linearizability of the planar time-reversible cubic complex system  ,  . From these conditions, the necessary and sufficient conditions for the origin to be an isochronous center of the time-reversible cubic real system  ,  can be obtained. Thus, the isochronous center problem of time-reversible cubic systems is solved completely. |
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| Keywords: | Isochronous center Linearizability Time-reversibility Polynomial system |
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